Answer :

-2x - 4 > 10

Multiply both sides by -1 and reverse the inequality symbol.

2x + 4 < -10

Now subtract both sides by 4.

2x + 4 - 4 < -10 - 4

2x < -14

Divide both sides by 2.

2x/2 < -14/2

x < -7


[tex]-2x-4 > 10\ \ \ \ |add\ 4\ to\ both\ sides\\\\-2x > 14\ \ \ \ |change\ the\ signs\\\\2x < -14\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x < -7\to x\in(-\infty;-7)}[/tex]